Effect of temperature dependent viscosity on biomagnetic fluid flow and heat transfer over a nonlinear stretching sheet

Md. Jahangir Alam and Md. Ghulam Murtaza
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Md. Jahangir Alam: Department of Mathematics, Comilla University, Comilla, Bangladesh
Md. Ghulam Murtaza: Department of Mathematics, Comilla University, Comilla, Bangladesh

Journal of Advances in Technology and Engineering Research, 2020, vol. 6, issue 1, 08-21

Abstract: This investigated the flow and heat transfer of two-dimensional biomagnetic fluid (blood) flow over a nonlinear stretching sheet in the presence of magnetic dipole. It is assumed that the magnetic field is sufficiently strong enough to saturate the ferrofluid and variation of magnetization with temperature can be approximated by a linear function of temperature difference. The fluid viscosity is assumed to vary as an inverse linear function of the temperature. The governing boundary layer equations with boundary conditions are simplified to couple higher-order equations using usual transformation. Numerical solutions are obtained by using bvp4c function technique in MATLAB software. The acquired results are shown graphically and were examined for several values of the dimensionless parameters. It is observed that for different values of the ferromagnetic interaction parameter and variable viscosity parameter, the velocity distribution decreases while temperature distribution increases. The magnitude of skin friction coefficient and the rate of heat transfer decrease with the increasing values of radiation parameter and Prandtl number. The results are also compared for specific values of the parameters with others documented in literature.

Keywords: Biomagnetic fluid; Magnetic dipole; Nonlinear stretching sheet; Ferrohydrodynamics (FHD); Magnetohydrodynamics (MHD); Viscosity as a function; Temperature; Radiation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:apb:jaterr:2020:p:08-21

DOI: 10.20474/jater-6.1.2

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